Mathematical Analysis 1

The course cannot be taken simultaneously with:

Mathematical Analysis 1 (B0B01MA1)

The course is a substitute for:

Mathematics Analysis (B6B01MAA)

Garant předmětu:

Veronika Sobotíková

Lecturer:

Veronika Sobotíková

Tutor:

Josef Dvořák, Karel Pospíšil, Veronika Sobotíková

Supervisor:

Department of Mathematics

Synopsis:

This is an introductory course to differential and integral calculus of functions of one real variable.

Requirements:

For information, see https://moodle.fel.cvut.cz/mod/page/view.php?id=196939 (in Czech).

Syllabus of lectures:

1.Real numbers. Elementary functions.

2. Limit and continuity of functions.

3. Derivative of functions, its properties and applications.

4. Mean value theorem. L'Hospital's rule, Taylor polynomial.

5. Local and global extrema and graphing functions.

6. Indefinite integral, basic integration methods.

7. Integration of rational and other types of functions.

8. Definite integral (using sums). Newton-Leibniz formula.

9. Improper integral. Application of integrals.

10. Sequences and their limits.

11. Series, convergence tests.

12. Introduction to differential equations.

13. Other topics of mathematical analysis.

Syllabus of tutorials:

1.Real numbers. Elementary functions.

2. Limit and continuity of functions.

3. Derivative of functions, its properties and applications.

4. Mean value theorem. L'Hospital's rule, Taylor polynomial.

5. Local and global extrema and graphing functions.

6. Indefinite integral, basic integration methods.

7. Integration of rational and other types of functions.

8. Definite integral (using sums). Newton-Leibniz formula.

9. Improper integral. Application of integrals.

10. Sequences and their limits.

11. Series, convergence tests.

12. Introduction to differential equations.

13. Other topics of mathematical analysis.

Study Objective:

The aim of the course is to introduce students to basics of differential and integral calculus of functions of one variable.

Study materials:

[1] J. Stewart, Single variable calculus, Seventh Edition, Brooks/Cole, 2012, ISBN 0538497831.

Note:

Further information:

https://moodle.fel.cvut.cz/courses/B0B01MA1A

Time-table for winter semester 2022/2023:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon	roomT2:A4-203a Sobotíková V. 09:15–10:45 (lecture parallel1 parallel nr.111) Dejvice UčebnaroomT2:A4-202b Sobotíková V. 12:45–14:15 (lecture parallel1 parallel nr.105) Dejvice Učebna roomT2:A4-203a Sobotíková V. 09:15–10:45 (lecture parallel1 parallel nr.112) Dejvice Učebna
Tue	roomT2:D3-209 Sobotíková V. 09:15–10:45 (lecture parallel1) Dejvice T2:D3-209roomT2:A4-204 12:45–14:15 (lecture parallel1 parallel nr.116) Dejvice UčebnaroomT2:C3-54 Sobotíková V. 14:30–16:00 (lecture parallel1 parallel nr.121) Dejvice T2:C3-54roomT2:C4-78 16:15–17:45 (lecture parallel1 parallel nr.123) Dejvice T2:C4-78 roomT2:C3-54 Sobotíková V. 12:45–14:15 (lecture parallel1 parallel nr.122) Dejvice T2:C3-54
Wed	roomT2:C3-52 Sobotíková V. 09:15–10:45 (lecture parallel1 parallel nr.112) Dejvice T2:C3-52roomT2:A4-202a Dvořák J. 12:45–14:15 (lecture parallel1 parallel nr.102) Dejvice UcebnaroomT2:A4-202a Dvořák J. 14:30–16:00 (lecture parallel1 parallel nr.104) Dejvice UcebnaroomT2:A4-204 Sobotíková V. 16:15–17:45 (lecture parallel1 parallel nr.105) Dejvice Učebna roomT2:C3-54 Sobotíková V. 11:00–12:30 (lecture parallel1 parallel nr.111) Dejvice T2:C3-54roomT2:C3-52 Pospíšil K. 14:30–16:00 (lecture parallel1 parallel nr.113) Dejvice T2:C3-52
Thu	roomT2:D3-209 Sobotíková V. 11:00–12:30 (lecture parallel1) Dejvice T2:D3-209roomT2:C3-54 Pospíšil K. 14:30–16:00 (lecture parallel1 parallel nr.101) Dejvice T2:C3-54roomT2:C3-51 16:15–17:45 (lecture parallel1 parallel nr.108) Dejvice T2:C3-51 roomT2:C3-54 Pospíšil K. 12:45–14:15 (lecture parallel1 parallel nr.103) Dejvice T2:C3-54roomT2:A4-202a Pospíšil K. 16:15–17:45 (lecture parallel1 parallel nr.114) Dejvice Ucebna roomT2:C4-78 Dvořák J. 12:45–14:15 (lecture parallel1 parallel nr.115) Dejvice T2:C4-78roomT2:C2-82 Dvořák J. 14:30–16:00 (lecture parallel1 parallel nr.120) Dejvice T2:C2-82
Fri

Time-table for summer semester 2022/2023:

Time-table is not available yet

The course is a part of the following study plans:

• Medical electronics and bioinformatics (compulsory course in the program)
• Electronics and Communications 2018 (compulsory course in the program)
• Electrical Engineering, Power Engineering and Management (compulsory course in the program)
• Electrical Engineering, Power Engineering and Management - Applied Electrical Engineering 2018 (compulsory course in the program)
• Electrical Engineering, Power Engineering and Management - Electrical Engineering and Management (compulsory course in the program)